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Finding the Fourth Proportional to 32,441.64, 48,633.18 and 11,660.28

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Solution

The fourth proportional to 32,441.64, 48,633.18 and 11,660.28 is: 17,479.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,441.64 : 48,633.18 = 11,660.28 : x
  2. Step 2: Convert to fraction form
    32,441.64/48,633.18 = 11,660.28/x
  3. Step 3: Cross multiply
    32,441.64x = 48,633.18 × 11,660.28
  4. Step 4: Simplify right side
    32,441.64x = 567,076,496.09
  5. Step 5: Solve for x
    x = 567,076,496.09/32,441.64
  6. Step 6: Final answer
    x = 17,479.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.